IPMAT Rohtak 2020 (QA) PYQs

A rabbit is sitting at the base of a staircase which has 10 steps. It proceeds to the top of the staircase by climbing either one step at a time or two steps at a time. The number of ways it can reach the top is

How many different numbers can be formed by using only the digits 1 and 3 which are smaller than 3000000?

Out of 7 different consonants and 4 different vowels, how many words (not necessarily meaningful) of 4 consonants and 2 vowels can be formed?